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Finding the Fourth Proportional to 10,862.56, 16,294.64 and 5,320.56

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Solution

The fourth proportional to 10,862.56, 16,294.64 and 5,320.56 is: 7,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.56 : 16,294.64 = 5,320.56 : x
  2. Step 2: Convert to fraction form
    10,862.56/16,294.64 = 5,320.56/x
  3. Step 3: Cross multiply
    10,862.56x = 16,294.64 × 5,320.56
  4. Step 4: Simplify right side
    10,862.56x = 86,696,609.80
  5. Step 5: Solve for x
    x = 86,696,609.80/10,862.56
  6. Step 6: Final answer
    x = 7,981.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.